Being that strong a splitter sucks. I know someone who got into Northwestern with a below-3.0 GPA and an above-170 LSAT, but they applied ED.

You're probably out at the likes of Harvard. I won't say don't apply, but that you have a 90% shot of rejection before they even get to your addendum. (I applied to Harvard with similar odds and cherish my rejection letter as proof that I tried.)

What I'll say is ride this cycle out, and if you get to about the end of the month and haven't heard back from any of the T14 schools, consider switching to ED at UVA. They've removed the normal ED deadline, so you can still ED there and you have a shot at getting in. You likely won't get much $$ being that much of a splitter, but you will get into a T14 that way.